Factorization in Integral Domains without Identity
โ Scribed by D. D. Anderson; Jonathan Preisser
- Book ID
- 105764448
- Publisher
- Springer
- Year
- 2009
- Tongue
- English
- Weight
- 797 KB
- Volume
- 55
- Category
- Article
- ISSN
- 1422-6383
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Let R be an integral domain. In this paper, we introduce a sequence of factorization properties which are weaker than the classical UFD criteria. We give several examples of atomic nonfactorial monoids which satisfy these conditions, but show for several classes of integral domains of arithmetical i
Let D be a Noetherian domain. Then it is well known that D is atomic, i.e. every non-zero non-unit a โ D possesses a factorization a = u1 โข : : : โข un into irreducible elements ui of D. The integer n in this equation is called the length of the factorization. In general, elements of Noetherian domai
In this paper, improving on the results of Del Corso (1992), we describe a method to factorize prime ideal extensions in Dedekind domains. This method needs factorization modulo \(P\) of a polynomial in at least two variables.